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Engineering Worksheet: Strong Shapes

Engineering lesson 17: Strong shapes: triangles, arches and beams · Set 168 · 40 questions
TalentJR

Engineer's tip (Triangles stay put): Triangles are rigid; trusses, towers and frames use them. A pin-jointed frame with n sides needs n − 3 corner-to-corner braces; a row of n triangles uses 2n + 1 straws. Arches squeeze (compression); beams span gaps; domes are arches turned round in a circle.

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  1. 1.True or false: a truss bridge side uses triangles. (a) False (b) True
  2. 2.True or false: a crane arm uses a dome. (a) False (b) True
  3. 3.🔺 A beam bends under a load. Its top side is … (a) stretched (tension) (b) squeezed (compression) (c) floating (d) not affected
  4. 4.🔺 Which shape keeps its shape best when its corners are pinned? (a) rectangle (b) hexagon (c) triangle (d) square
  5. 5.🔺 Which strong shape does an old stone bridge use? (a) dome (b) triangle (c) beam (d) arch
  6. 6.True or false: a crane arm uses an arch. (a) True (b) False
  7. 7.🔺 Which strong shape does a bicycle frame use? (a) dome (b) arch (c) triangle (d) beam
  8. 8.Which of these uses an arch? (a) a fort gateway (b) a round palace roof (c) a planetarium roof (d) an igloo
  9. 9.True or false: a slab over a canal uses a beam. (a) False (b) True
  10. 10.🔺 A flat frame has 4 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  11. 11.🔺 Which strong shape does a roof truss use? (a) arch (b) beam (c) triangle (d) dome
  12. 12.Which of these uses triangles? (a) a fort gateway (b) a planetarium roof (c) a roof truss (d) a slab over a canal
  13. 13.🔺 Which strong shape does a shelf on two brackets use? (a) triangle (b) beam (c) arch (d) dome
  14. 14.🔺 How do engineers stop a square frame from wobbling? (a) make it bigger (b) take off a side (c) paint it (d) add a diagonal brace
  15. 15.🔺 One side of a straw bridge is a row of 5 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  16. 16.🔺 One side of a straw bridge is a row of 15 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  17. 17.True or false: a slab over a canal uses an arch. (a) False (b) True
  18. 18.🔺 A frame shaped like a square is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  19. 19.True or false: a truss bridge side uses a dome. (a) False (b) True
  20. 20.🔺 Why can an arch carry heavy loads? (a) it is hollow (b) it works in compression (c) it bends easily (d) it is very light
  21. 21.Which of these uses triangles? (a) a slab over a canal (b) a crane arm (c) a lintel over a door (d) a round palace roof
  22. 22.🔺 Which strong shape does a lintel over a door use? (a) arch (b) triangle (c) beam (d) dome
  23. 23.🔺 A flat frame has 6 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  24. 24.🔺 Which strong shape does a slab over a canal use? (a) triangle (b) dome (c) beam (d) arch
  25. 25.🔺 One side of a straw bridge is a row of 3 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  26. 26.True or false: a fort gateway uses a beam. (a) True (b) False
  27. 27.Which of these uses triangles? (a) a lintel over a door (b) an electric pylon (c) a fort gateway (d) a slab over a canal
  28. 28.True or false: a lintel over a door uses triangles. (a) False (b) True
  29. 29.Which of these uses a dome? (a) a lintel over a door (b) a bicycle frame (c) a planetarium roof (d) a fort gateway
  30. 30.🔺 A flat frame has 9 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  31. 31.🔺 A frame shaped like a triangle is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) rigid (b) wobbly
  32. 32.🔺 One side of a straw bridge is a row of 14 triangles standing point-up and point-down in turn, each sharing a side with the next. How many straws does it use?
  33. 33.🔺 A frame shaped like a square is made of straws joined by loose pins, with 1 corner-to-corner brace. Is it rigid or wobbly? (a) rigid (b) wobbly
  34. 34.🔺 A flat frame has 8 straight sides joined by loose pins at the corners. What is the least number of corner-to-corner braces needed to make it rigid?
  35. 35.Which of these uses a dome? (a) a fort gateway (b) a round palace roof (c) a slab over a canal (d) an electric pylon
  36. 36.🔺 Which strong shape does a round palace roof use? (a) triangle (b) arch (c) beam (d) dome
  37. 37.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 0 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  38. 38.🔺 A frame shaped like a pentagon is made of straws joined by loose pins, with 2 corner-to-corner braces. Is it rigid or wobbly? (a) wobbly (b) rigid
  39. 39.True or false: an igloo uses a dome. (a) False (b) True
  40. 40.True or false: an electric pylon uses a beam. (a) True (b) False

Answer key

  1. True
  2. False
  3. squeezed (compression)
  4. triangle
  5. arch
  6. False
  7. triangle
  8. a fort gateway
  9. True
  10. 1
  11. triangle
  12. a roof truss
  13. beam
  14. add a diagonal brace
  15. 11
  16. 31
  17. False
  18. wobbly
  19. False
  20. it works in compression
  21. a crane arm
  22. beam
  23. 3
  24. beam
  25. 7
  26. False
  27. an electric pylon
  28. False
  29. a planetarium roof
  30. 6
  31. rigid
  32. 29
  33. rigid
  34. 5
  35. a round palace roof
  36. dome
  37. wobbly
  38. rigid
  39. True
  40. False

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